How to position below the lowest of two views in ConstraintLayout?

I have two header views, HeaderViewA and HeaderViewB. These views can have any combination of visibility visible or gone.

I need BigView to be positioned under the lowest of either HeaderViewA/HeaderViewB.

Is this possible without nesting in ConstraintLayout?

Now it's possible with Barrier class, introduced in constraint-layout v1.1.0.

So here's the solution for your particular case:

<?xml version="1.0" encoding="utf-8"?>
<android.support.constraint.ConstraintLayout xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto"
    xmlns:tools="http://schemas.android.com/tools"
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    tools:context="com.example.eugene.test10.MainActivity">
    <TextView
        android:id="@+id/textView1"
        android:layout_width="0dp"
        android:layout_height="wrap_content"
        android:background="#EEEEEE"
        android:text="TEXT_VIEW_1"
        app:layout_constraintLeft_toLeftOf="parent"
        app:layout_constraintTop_toTopOf="parent"
        app:layout_constraintRight_toLeftOf="@+id/textView2"/>

    <TextView
        android:id="@+id/textView2"
        android:layout_width="0dp"
        android:layout_height="wrap_content"
        android:background="#DDDDDD"
        android:text="TEXT_VIEW_2"
        android:visibility="gone"
        app:layout_constraintLeft_toRightOf="@+id/textView1"
        app:layout_constraintRight_toRightOf="parent"
        app:layout_constraintTop_toTopOf="parent" />

    <android.support.constraint.Barrier
        android:id="@+id/labelBarrier"
        android:layout_width="wrap_content"
        android:layout_height="wrap_content"
        app:barrierDirection="bottom"
        app:constraint_referenced_ids="textView1,textView2" />

    <TextView
        android:id="@+id/textView3"
        android:layout_width="0dp"
        android:layout_height="wrap_content"
        android:background="#CCCC00"
        android:text="TEXT_VIEW_3"
        app:layout_constraintLeft_toLeftOf="parent"
        app:layout_constraintRight_toRightOf="parent"
        app:layout_constraintTop_toBottomOf="@+id/labelBarrier" />

</android.support.constraint.ConstraintLayout>

Here're results for using this layout:

You can refer this step-by-step guide on Codelab https://codelabs.developers.google.com/codelabs/constraint-layout/#10.

<?xml version="1.0" encoding="utf-8"?>
<android.support.constraint.ConstraintLayout
    xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto"
    xmlns:tools="http://schemas.android.com/tools"
    android:layout_width="match_parent"
    android:layout_height="match_parent">

    <TextView
        android:id="@+id/header_view_a"
        android:layout_width="0dp"
        android:layout_height="0dp"
        android:background="@android:color/holo_orange_light"
        android:gravity="center"
        android:text="HeaderViewA "
        android:layout_marginBottom="@dimen/sixteenDP"
        android:textSize="30sp"
        app:layout_constraintBottom_toTopOf="@+id/guideline"
        app:layout_constraintStart_toStartOf="parent"
        app:layout_constraintTop_toTopOf="@+id/header_view_b"
        app:layout_constraintEnd_toStartOf="@+id/header_view_b"
        app:layout_constraintVertical_bias="0"
        app:layout_constraintWidth_default="wrap" />

    <TextView
        android:id="@+id/header_view_b"
        android:layout_width="wrap_content"
        android:layout_height="0dp"
        android:background="@android:color/holo_green_light"
        android:gravity="center"
        android:text="HeaderViewB"
        android:textAlignment="center"
        android:textSize="30sp"
        app:layout_constraintTop_toTopOf="parent"
        app:layout_constraintEnd_toEndOf="parent"
        app:layout_constraintBottom_toTopOf="@id/guideline"
        app:layout_constraintStart_toEndOf="@+id/header_view_a"/>

    <android.support.constraint.Guideline
        android:id="@+id/guideline"
        android:layout_width="0dp"
        android:layout_height="wrap_content"
        android:orientation="horizontal"
        app:layout_constraintGuide_percent="0.4"/>

    <TextView
        android:id="@+id/big_view"
        android:layout_width="0dp"
        android:layout_height="0dp"
        android:layout_marginBottom="8dp"
        android:background="@android:color/holo_blue_dark"
        android:gravity="center"
        android:text="BigView"
        android:textAlignment="center"
        android:textSize="@dimen/list_item_height"
        app:layout_constraintBottom_toBottomOf="parent"
        app:layout_constraintEnd_toEndOf="parent"
        app:layout_constraintStart_toStartOf="parent"
        app:layout_constraintTop_toTopOf="@+id/guideline"
        app:layout_constraintVertical_bias="1.0"/>

</android.support.constraint.ConstraintLayout>

Watch out for app:layout_constraintWidth_default="wrap" (with width set to 0dp). If set, the widget will have the same size as if using wrap_content, but will be limited by constraints (i.e. it won't expand beyond them) and app:layout_constraintVertical_bias="1.0". Use bias to pull BigView to the bottom of its parent.