Angle Relationships in Triangles and Transversals (2024)

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}); if(typeof gg_optimize_override_seconds_amount !== "undefined"){ totalWatchedSecs = gg_optimize_override_seconds_amount;} },1500);video.bind("secondchange", function(s) { jQuery("input#videocurrentstate").attr("value", s); if( typeof window.gg_player_overlay_update_seconds !== "undefined" ){ window.gg_player_overlay_update_seconds(s); } // Send usage events to Intercom if(typeof trackIntercomEvent !== "undefined") { if(video.secondsWatched() == 59) { trackIntercomEvent("watched a video by more than 60 seconds"); console.log("watched a video by more than 60 seconds"); } if(video.secondsWatched() == 119) { trackIntercomEvent("watched a video by more than 120 seconds"); console.log("watched a video by more than 120 seconds"); } } if(isFreemium === true) { if (video.secondsWatched() >= totalWatchedSecs) { var conversionsTracked = gengen_get_cookie("freemium_test_conversions");if( ! conversionsTracked ) {var userRole = gengen_get_cookie("freemium_test_role");window.jscd.conversions.freemium.triggered = true;if(userRole == "teacher") {pintrk("track", "signup");gtag("event", "conversion", {"send_to": "AW-942705868/JSOLCK6i2IABEMyZwsED"});gtag("event", "conversion", {"send_to": "AW-942705868/ZAH1CJOL1owBEMyZwsED"});if(typeof gengen_get_cookie != "undefined" && gengen_get_cookie("free_trial_user_id")) { fbq("track", "CompleteRegistration", {}, {eventID: gengen_get_cookie("free_trial_user_id"), "external_id": gengen_get_cookie("free_trial_user_id")}); 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} */if( typeof gengen_data !== "undefined" && gengen_data.user_data.is_logged_in && gengen_data.user_data.payment_status == "Paid" ) {window.isfree = true;} if (!window.isfree && video.secondsWatched() + persistedPreviewSeconds >= totalWatchedSecs) {if (typeof Videos_Popover !== "undefined" && window.lp_videos_popover instanceof Videos_Popover) {window.lp_videos_popover.add_watched(video);}var videoid = jQuery("#wistia-popover").data("wistiathisvideoid");var params = new URLSearchParams(window.location.search);var exclude = ["rka527f524", "8kr4gf4kxx", "niwrc4nc31"]; //email campaign giving free access to what is science videosvar skip = false;if (exclude.includes(videoid) && params.get("utm_campaign") == "welcome_back_2023") {return;}exitFullscreen();if (overlay_variant != "undefined" && overlay_variant == "2") {if (!jQuery("#wistia-popover .wistia_responsive_padding").hasClass("teaser")) {if ($(window).width() > 768) {window.restartVideoTime = video.time();console.log(window.restartVideoTime);video.play();jQuery("#wistia-popover .wistia_responsive_padding").css("opacity", 0);video.mute();setTimeout(function() {jQuery("#wistia-popover .wistia_responsive_padding").addClass("teaser");}, 50);setTimeout(function() {jQuery("#wistia-popover .wistia_responsive_padding").fadeTo(250, 1);}, 500);} else {video.pause();}}} else {video.pause();remaining = false;}if( window.alternate_invideo_flow ){openAlternateSignupForm();} else {jQuery("#popupActiveFree").show();}jQuery("li.trigger_signup_seq2").attr("data-invideo", "yes-" + totalWatchedSecs);gengen_log_invideo_popup({"instance": "1","isfree": window.isfree,"is_logged_in": gengen_data.user_data.is_logged_in,"logged_in_cookie": document.cookie.wp_user_logged_in,"user_id": gengen_data.user_data.user_id,"url": document.location.href,"secs": totalWatchedSecs});//hj("tagRecording", ["popupActiveFree"]);} }if (s === quarterPlayed){trackWistiaPlaysInHeap(video, 0.25);}if (s === halfPlayed){trackWistiaPlaysInHeap(video, 0.5);}if (s === threeQuartersPlayed){trackWistiaPlaysInHeap(video, 0.75);}// Teacher trial KPIs viewtime trackingif(typeof teacherTrialKPIs !== "undefined" && teacherTrialKPIs) {if(teacherTrialKPIs.isTeacherTrialUser()) {teacherTrialKPIs.updateViewtimeData();}}});video.bind("seek", function(currentTime, lastTime) { // NM (11/24/22): https://trello.com/c/Ok3Hk1JG/1199-free-trial-free-riders-issue-confirmed-by-customers /* if(document.cookie.search("wp_user_logged_in") !== -1) { window.isfree = true; 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1:00 min of preview leftAngle Relationships in Triangles and Transversals (1)Create a free account for full accessAngle Relationships in Triangles and Transversals (2)

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Angle Relationships in Triangles and Transversals

What you will learn from this videoWhat you will learn

  • The relationship between the angles in a triangle.
  • The relationship between the angles formed by a transversal crossing parallel lines.
  • That we can use this knowledge to make artwork, build bridges, and even learn about marine life.
  • Discussion Questions
  • Vocabulary
  • Reading Material
  • Practice Word Problems
  • Practice Number Problems
  • Teacher ResourcesCreate Free Account To Unlock
  • Teacher Resources
Angle Relationships in Triangles and Transversals (2024)

FAQs

What are the angle relationships in triangles and Transversals? ›

Interior angles are both on the inside of the parallel lines; they are supplementary. Exterior angles are both on the outside of the parallel lines; they are supplementary. Alternate angles are across from each other on different lines; alternate exterior and alternate interior angles are congruent.

What are the relationships between Transversals and angle pair? ›

If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary, i.e. they add up to 180°. When two lines intersect each other, then the opposite angles, formed due to intersection, are called vertical angles or vertically opposite angles.

How do you describe a congruent angle relationship? ›

Angles are congruent when they have the same measurement. For example, if two angles both measure 63 degrees, then they are congruent. But if one angle measures 63 degrees and the other measures 64 degrees, then they are not congruent.

Do corresponding angles always have equal measure? ›

The corresponding angle postulate states that the corresponding angles are congruent if the transversal intersects two parallel lines. In other words, if a transversal intersects two parallel lines, the corresponding angles will be always equal.

How can you describe the relationship among the angles of a triangle? ›

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle. Triangle Inequality: In any triangle, the sum of the lengths of any two sides is greater than the length of the third side.

How do you describe the relationship between two angles? ›

Two angles are said to be complementary when the sum of the two angles is 90°. Two angles are said to be supplementary when the sum of the two angles is 180°. When a transversal intersects with two parallel lines eight angles are produced. The eight angles will together form four pairs of corresponding angles.

What is the best way to describe the angle pair relationships? ›

A supplementary angles pair is when two angles add together to 180-degrees. An adjacent angle pair is when to angles are side-by-side, therefore sharing a common side. A linear angle pair, also known as a straight angle pair, is when two angles that are adjacent are equal to 180-degrees.

Can transversal lines be 90 degrees? ›

Answer: Yes, If the transversal intersects two parallel lines perpendicularly, the corresponding angles can be supplementary (i.e., at 90 degrees). In this case, each corresponding angle will be 90 degrees, and their sum will be 180 degrees (i.e., supplementary).

Which pair of angles are congruent? ›

Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 108 degrees. Regardless of the size or scale of a regular polygon, the angles will always be congruent.

Does letter order matter in angles? ›

They don't have a specific order other than the fact that the angle you are trying to find must be in the “middle” of such arrangement. For example, having a triangle with angles A, B, and C, if we want to talk about angle C, that would be <BCA or <ACB.

What is the relationship between the angles of each triangle? ›

Relationship between sides and angles. In any triangle, the largest side and largest angle are opposite one another. In any triangle, the smallest side and smallest angle are opposite one another. In any triangle, the mid-sized side and mid-sized angle are opposite one another.

What are angles that are in the same position in relation to a transversal? ›

Corresponding angles are congruent if the two lines are parallel. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs.

What are angle side relationship theorems? ›

If one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the side opposite the shorter side. If one angle of a triangle has greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle.

What are corresponding angles in Transversals? ›

The corresponding angles definition tells us that when two parallel lines are intersected by a third one (transversal), the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.

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